Pith Number

pith:BEJX6RJG

pith:1997:BEJX6RJGFSZH6OMLQUQFZPSBMC

not attested not anchored not stored refs pending

Singular Yukawa and gauge couplings in d=4 Heterotic String Vacua

Jan Louis, Matthias Klein

arxiv:hep-th/9707212 v1 · 1997-07-24 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEJX6RJGFSZH6OMLQUQFZPSBMC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:36:02.268711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09137f45262cb27f398b85205cbe41608eb72e04647d498ed8e2761a8476ae61

Aliases

arxiv: hep-th/9707212 · arxiv_version: hep-th/9707212v1 · doi: 10.48550/arxiv.hep-th/9707212 · pith_short_12: BEJX6RJGFSZH · pith_short_16: BEJX6RJGFSZH6OML · pith_short_8: BEJX6RJG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BEJX6RJGFSZH6OMLQUQFZPSBMC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 09137f45262cb27f398b85205cbe41608eb72e04647d498ed8e2761a8476ae61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b23ddd5496f278ec22870f344d3331e650ef38d773179955281f45bf1a9741b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1997-07-24T20:46:02Z",
    "title_canon_sha256": "4118a30349673c8ededee1ba681af921c84e9974be0bedd3dc8c6f432d069d09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9707212",
    "kind": "arxiv",
    "version": 1
  }
}